x = amount of 21% alloy
y = amount of 50% alloy
The metallurgist wants a combination weighing a total of 44 lb, so
x + y = 44
Each pound of either alloy contributes either 0.21 or 0.5 pound of titanium. The final product needs to be comprised of 37% titanium; weighing at 44 lb, this means it should contain 0.37 * 44 = 16.28 lb. So
0.21x + 0.5y = 16.28
From the first equation,
x + y = 44 ==> y = 44 - x
Substitute this into the second equation and solve for x:
0.21x + 0.5(44 - x) = 16.28
-0.29x = -5.72 ==> x = 19.72
Substitute this into the first equation to solve for y:
19.72 + y = 44 ==> y = 24.28
Answer:
14 and 16
Step-by-step explanation:
your adding 2 to each each time, if your looking for the multiplied awnser its 224
Answer:
B. 8.0 cubic inches
Step-by-step explanation:
You need to find 190% of the volume of a gumball which is a sphere.
To find 190% of a quantity, multiply the quantity by 1.9.
volume of sphere = (4/3)(pi)(r^3)
diameter = d = 2 in.
radius = r = (1/2)d = (1/2)(2 in.) = 1 in.
volume of sphere = (4/3)(3.14159)(1 in.)^3 = 4.189 in.^3
The volume of a gumball is 4.189 in.^3
Now we need 190% of that volume.
190% of volume of sphere = 1.9 * volume = 1.9 * 4.189 in.^3 = 7.959 in.^3
Rounded to the nearest tenth, the volume is
B. 8.0 cubic inches
side = 8 m
the area of the rectangle = length × width = 16 × 4 = 64 m²
the area of the square = s² ( where s is the length of a side ), hence
s² = 64 ( since areas are equal )
take the square root of both sides
s = √64 = 8 m
The fourth root of 16/81 is 2/3.
x^11/x^7 = x^4. The fourth root of x^4 is x.
y^8/y^6 = y^2 which remains inside the fourth root.
Answer: B.
